Preparing for the Regents Examination Geometry, AK

5. ___
AE ___
AE
6. ABE EDA (AAS AAS)
7. BAE DEA (CPCTC)
8. DAE is a right angle.
9. ___
DE ___
AE (Perpendicular lines
intersect to form right
32 1.
angles.)
___
BA ___
DE
2. CAE CEA
3. ___
AE ___
AE
4. ABE EDA (SAS SAS)
5. BEA DAE
33 1. 1 2
2. 3 4
(CPCTC)
3. 5 6 (Linear pairs of
congruent angles
4.
are congruent.)
___
AD ___
EC
5. ___
DE ___
DE
6. ___
AE ___
DC (Addition postulate)
7. ABE CBD (ASA ASA)
8. ABE CBD
34 1.
(CPCTC)
___
RS ___
ST ___
TR
2. 1 2
3. ___
RP ___
TP (Converse of isosceles
4.
triangle theorem)
___
SP ___
SP
5. RPS TPS (SSS SSS)
6. RSP TSP
7.
(CPCTC)
___
SP bisects RST. (Definition of an
angle bisector)
35 1. ___
PT ___
QR , ___
RS ___
PQ
2. RSP and PTR (Definition of right
are right angles. angles)
3. RSP and PTR are right triangles.
4. ___
PT ___
RS
5. ___
PR ___
PR
6. RSP PTR (HL HL)
7. SRP TRP (CPCTC)
8. PQR is isosceles. (Converse of
isosceles triangle
theorem)
36 1. ___
AS ___
PR , ___
BT ___
PR
2. ASP and BTR are right angles.
3. PAS and RBT are right triangles.
4. 1 2
5. PAS RBT (Linear pairs of
congruent angles
are congruent.)
6. ___
AS ___
BT
7. PAS RBT (Leg–acute angle)
8. APS BRT (CPCTC)
9. PQR is isosceles. (Definition of an
isosceles triangle)
37 True
38 True
39 False
40 True
41 True
42 False
43 True
44 False
45 True
46 False
47 False
48 True
49 True
50 True
Chapter Review 55